Point Slope Word Problems
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you identify the slope from a point-slope equation?
Back
In the point-slope equation y - y_1 = m(x - x_1), the slope m is the coefficient of (x - x_1).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does the slope represent in a real-world context?
Back
The slope represents the rate of change between two variables. For example, in a business context, it could represent profit per item sold.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
How can you convert a point-slope equation to slope-intercept form?
Back
To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
What is the significance of the point (x_1, y_1) in the point-slope form?
Back
The point (x_1, y_1) is a specific point on the line, which helps to define the line's position in the coordinate plane.
6.
FLASHCARD QUESTION
Front
If a line has a slope of -3, what does this indicate about the line's direction?
Back
A slope of -3 indicates that for every 1 unit increase in x, y decreases by 3 units, meaning the line descends from left to right.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
How do you determine if a point lies on a line represented by a point-slope equation?
Back
To determine if a point (x, y) lies on the line, substitute x into the equation and check if the resulting y equals the y-coordinate of the point.
Tags
CCSS.HSF.IF.A.1
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